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Finding the Fourth Proportional to 1,053.78, 1,580.64 and 438.09

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Solution

The fourth proportional to 1,053.78, 1,580.64 and 438.09 is: 657.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.78 : 1,580.64 = 438.09 : x
  2. Step 2: Convert to fraction form
    1,053.78/1,580.64 = 438.09/x
  3. Step 3: Cross multiply
    1,053.78x = 1,580.64 × 438.09
  4. Step 4: Simplify right side
    1,053.78x = 692,462.58
  5. Step 5: Solve for x
    x = 692,462.58/1,053.78
  6. Step 6: Final answer
    x = 657.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.